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LCM of 377, 961, 793, 585

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 377, 961, 793, 585 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 377, 961, 793, 585. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,961,793,585

Given numbers are 377,961,793,585

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 377,961,793,585 is 994505265.

Find LCM of 377,961,793,585 with Prime Factorization


13 377, 961, 793, 585
29, 961, 61, 45

Multiply the prime numbers at the bottom and the left side.

13 x 29 x 961 x 61 x 45 = 994505265

Therefore, the lowest common multiple of 377,961,793,585 is 994505265.

LCM Formula to Find Lowest Common Multiple of 377,961,793,585

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

377 x 961 x 793 x 585 = 168071389785

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

377 : 1, 13, 29, 377

961 : 1, 31, 961

793 : 1, 13, 61, 793

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,961,793,585, is 1.

Now, the common factors can be found like this.

377:13x 29

961:31x 31

793:13x 61

585:3x 3x 5x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 13 = 169

Therefore, the value for common factors is 169.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 168071389785/(1x169)

LCM = 168071389785/169

LCM = 994505265

Thus, we can understand that the LCM of 377,961,793,585 is 994505265.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 961, 793, 585

1. What is the LCM of 377, 961, 793, 585?

Answer: LCM of 377, 961, 793, 585 is 994505265.

2. How to calculate the LCM of 377, 961, 793, 585?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 377, 961, 793, 585.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.